Buchbeiträge:
F. Achleitner, S. Hittmeir, Ch. Schmeiser:
"On nonlinear conservation laws with a nonlocal diffusion term";
in: "ASC Report 23/2010",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2010,
ISBN: 978-3-902627-03-2.
Kurzfassung englisch:
Scalar one-dimensional conservation laws with a nonlocal di ffusion term corresponding
to a Riesz-Feller di fferential operator are considered. Solvability
results for the Cauchy problem with essentially bounded initial data are adapted from the case of a fractional
derivative with homogeneous symbol. The main interest of this work
is the investigation of smooth shock profi
Schlagworte:
nonlocal evolution equation, fractional derivative, travelling wave
Elektronische Version der Publikation:
http://www.asc.tuwien.ac.at/preprint/2010/asc23x2010.pdf
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.